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Korolek [52]
3 years ago
12

3 cups, 3 ounces = ____ fl oz.

Mathematics
1 answer:
Yuki888 [10]3 years ago
3 0

Answer:

27 fl oz.

Step-by-step explanation:

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Find the positive base $b$ in which the equation $5_b \cdot 23_b = 151_b$ is valid.
DanielleElmas [232]

Answer:

b=7

Step-by-step explanation:

We want to determine the positive base b in which:

5_b \cdot 23_b = 151_b

The easiest way to approach this is to convert all the numbers to base 10.

5_b=5Xb^0=5\\23_b =(2Xb^1)+(3Xb^0)=2b+3\\151_b=(1Xb^2)+(5Xb^1)+(1Xb^0)=b^2+5b+1\\Therefore:\\5_b \cdot 23_b = 151_b\\5(2b+3)=b^2+5b+1\\10b+15=b^2+5b+1\\b^2+5b+1-10b-15=0

b^2-5b-14=0

Next, we factorize the resulting expression.

b^2-5b-14=b^2-7b+2b-14=0\\b(b-7)+2(b-7)=0\\(b-7)(b+2)=0\\b-7=0\: or \: b+2=0\\b=7\: or \: b=-2

The positive value of b for which the equality hold is 7.

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What is the surface area of the solid...?​
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Which arrangement shows 275 , 5.36, 535 , and 336 in order from least to greatest
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Victor wants to purchase some clothes. He has $76. He buys a pair of jeans for $40, two shirts each at $9 and three pairs of soc
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Answer:

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Step-by-step explanation:

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Move point b some more as you move point b the angle formed between ab and cd varies if you want to make an perpendicular to cd
dybincka [34]

Answer:

Following are the response to the given question:

Step-by-step explanation:

Move b a bit further if the angle between cd and ab changes when you move b if you want to make a perpendicular point to cd The angle BEC is 90 ° for making the AB line perpendicular to the line CD to transfer point B to the angle between the two lines.

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